Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · physics/0408046

Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites

Tom G. Mackay
View original source ↗Read source document ↗Export metadata ↓

Abstract

In conventional approaches to the homogenization of random particulate composites, both the distribution and size of the component phase particles are often inadequately taken into account. Commonly, the spatial distributions are characterized by volume fraction alone, while the electromagnetic response of each component particle is represented as a vanishingly small depolarization volume. The strong-permittivity-fluctuation theory (SPFT) provides an alternative approach to homogenization wherein a comprehensive description of distributional statistics of the component phases is accommodated. The bilocally-approximated SPFT is presented here for the anisotropic homogenized composite which arises from component phases comprising ellipsoidal particles. The distribution of the component phases is characterized by a two-point correlation function and its associated correlation length. Each component phase particle is represented as an ellipsoidal depolarization region of nonzero volume. The effects of depolarization volume and correlation length are investigated through considering representative numerical examples. It is demonstrated that both the spatial extent of the component phase particles and their spatial distributions are important factors in estimating coherent scattering losses of the macroscopic field.

Explore related subjects

physics.optics

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Tom G. Mackay. 2005-09-07. Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites. https://doi.org/10.1088/0959-7174%2F14%2F4%2F001

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Selective sparsity-enhanced synchronization in disordered semiconductor laser networks

Biological networks tend to leverage selective sparsity as an economic strategy to optimize function while minimizing wiring costs. In contrast, achieving synchronization in engineered systems such as semiconductor laser arrays is traditionally expected to require resource-intensive coupling %strong connections to overcome intrinsic frequency disorders. We demonstrate that selectively coupled sparse networks can outperform fully connected architectures, achieving near-complete synchronization with a significantly reduced coupling budget. Using an evolutionary algorithm, we identify a ``pairing opposites" principle: optimal structures specifically prioritize connections between oscillators with the largest opposite frequency detuning. This topology neutralizes dynamical interference induced by redundant links, leading to stable synchronization. We formalize this mechanism through a thermodynamic potential framework, mapping time-delayed phase dynamics to an energy landscape where optimal sparsity prunes additional states to stabilize global phase-locking. Furthermore, we show that the optimal connectivity scales inversely with system size. This principle provides a resource-efficient blueprint for synchronizing and stabilizing diverse complex networks, from photonic arrays to neuromorphic hardware.

physics.optics↗
arXiv2026

Super-resolution microscopy via fluctuation-enhanced spatial mode demultiplexing

We introduce a superresolution technique that combines spatial mode demultiplexing (SPADE) with emitter blinking. We show that temporal fluctuations not only enhance the precision of SPADE imaging, but also drastically simplify the measurement required to recover full object information---in the presence of fluctuations, SPADE can be replaced by the much simpler image inversion interferometry. Both gains are enabled by exploiting temporal cumulants of the detected signal. We further show that the proposed fluctuation-enhanced techniques are significantly more robust to dark-count noise than conventional SPADE.

physics.optics↗
arXiv2026

Phase-controlled transport of Floquet-driven compact chiral photonic states

The Aharonov-Bohm (AB) effect remains a cornerstone of fundamental and applied physics. In this work, we utilize the AB caging effect originated from an effective magnetic field induced by multiorbital interactions, creating an all flat band (FB) lattice system. Normally, FB states are known for being compact in space and having a zero tail; therefore, their mobility in a linear environment is generally understood as impossible. We propose a Floquet driving protocol in an all-FB photonic system to fully control the dynamics of localized photonic states. The modulation of the Hamiltonian along the propagation coordinate allows the translation of compact states in the direction of constructive interference, resulting in an effective stroboscopic quantum walk-like effect. We find that the traveling states exist in chiral pairs. We experimentally implement the Floquet driven protocol using femtosecond laser written photonic waveguides and demonstrate directional control of the propagation, determined by the relative phase of the input condition.

physics.optics↗